Results 11 to 20 of about 882 (207)
Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
Annales Mathematicae Silesianae, 2023 In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
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Axioms, 2023 The overlap function is an important class of aggregation function that is closely related to the continuous triangular norm. It has important applications in information fusion, image processing, information classification, intelligent decision-making ...
Xiaoyan Mao, Chaolu Temuer, Huijie Zhou
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Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions [PDF]
Journal of Function Spaces, 2015 The concept for general α,m,r-convex functions, as a generalization of convex functions, is introduced. Then, Sandor type inequalities for the Sugeno integral based on this kind of function are established.
Dong-Qing Li, Yu-Hu Cheng, Xue-Song Wang
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The Alternative Representation of the Bipolar Sugeno Integral [PDF]
Engineering and Technology Journal, 2022 In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years.
Jabbar Abbas, Hossein Jafari
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Godunova Type Inequality for Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby +2 more
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Barnes−Godunova−Levin Type Inequalities for Generalized Sugeno Integral [PDF]
Mathematics Interdisciplinary Research, 2023 This article will prove the Barnes–Godunova–Levin (B-G-L) type inequalities for generalized Sugeno integrals. Also, we use some techniques and properties of concave functions to prove theorems and to obtain new results.
Mohsen Jaddi, Amir Loghman
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Ｒesearch on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator
Journal of Harbin University of Science and Technology, 2021 Fuzzy probability integral is an important part of fuzzy mathematics，and it is an integral form which combines fuzzy probability with integral. In this paper，a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
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Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
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Commuting Double Sugeno Integrals [PDF]
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019 In decision problems involving two dimensions (like several agents in uncertainty) the properties of expected utility ensure that the result of a two-stepped procedure evaluation does not depend on the order with which the aggregations of local evaluations are performed (e.g., agents first, uncertainty next, or the converse).
Dubois, Didier +2 more
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Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
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